Download or read book Dimension Theory for Nonsingular Injective Modules written by K. R. Goodearl and published by American Mathematical Soc.. This book was released on 1976 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper has two major purposes: to develop a theory of types for the category of nonsingular injective modules over an arbitrary ring, and to construct dimension functions which determine the isomorphism classes of the nonsingular injective modules.
Download or read book Extending Modules written by Nguyen Viet Dung and published by Routledge. This book was released on 2019-01-22 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: Module theory is an important tool for many different branches of mathematics, as well as being an interesting subject in its own right. Within module theory, the concept of injective modules is particularly important. Extending modules form a natural class of modules which is more general than the class of injective modules but retains many of its
Download or read book Ring Theory written by Kenneth Goodearl and published by CRC Press. This book was released on 1976-03-01 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Classes of Modules written by John Dauns and published by CRC Press. This book was released on 2006-06-19 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: Because traditional ring theory places restrictive hypotheses on all submodules of a module, its results apply only to small classes of already well understood examples. Often, modules with infinite Goldie dimension have finite-type dimension, making them amenable to use with type dimension, but not Goldie dimension. By working with natural classes
Download or read book Semilocal Categories and Modules with Semilocal Endomorphism Rings written by Alberto Facchini and published by Springer Nature. This book was released on 2019-10-23 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects and coherently presents the research that has been undertaken since the author’s previous book Module Theory (1998). In addition to some of the key results since 1995, it also discusses the development of much of the supporting material. In the twenty years following the publication of the Camps-Dicks theorem, the work of Facchini, Herbera, Shamsuddin, Puninski, Prihoda and others has established the study of serial modules and modules with semilocal endomorphism rings as one of the promising directions for module-theoretic research. Providing readers with insights into the directions in which the research in this field is moving, as well as a better understanding of how it interacts with other research areas, the book appeals to undergraduates and graduate students as well as researchers interested in algebra.
Download or read book Ring Theory Proceedings Of The Biennial Ohio State denison Conference 1992 written by Surender K Jain and published by World Scientific. This book was released on 1993-09-30 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of a collection of invited papers on the theory of rings and modules, most of which were presented at the biennial Ohio State — Denison Conference, May 1992, in memory of Hans Zassenhaus. The topics of these papers represent many modern trends in Ring Theory. The wide variety of methodologies and techniques demonstrated will be valuable in particular to young researchers in the area. Covering a broad range, this book should appeal to a wide spectrum of researchers in algebra and number theory.
Download or read book Advances in Ring Theory written by S.K. Jain and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Noncommutative Ring Theory written by J.H. Cozzens and published by Springer. This book was released on 2006-11-14 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Noncommutative Rings Group Rings Diagram Algebras and Their Applications written by Surender Kumar Jain and published by American Mathematical Soc.. This book was released on 2008 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Articles in this volume are based on talks given at the International Conference on Noncommutative Rings, Group Rings, Diagram Algebras and Their Applications. The conference provided researchers in mathematics with the opportunity to discuss new developments in these rapidly growing fields. This book contains several excellent articles, both expository and original, with new and significant results. It is suitable for graduate students and researchers interested in Ring Theory,Diagram Algebras and related topics.
Download or read book The Complete Dimension Theory of Partially Ordered Systems with Equivalence and Orthogonality written by K. R. Goodearl and published by American Mathematical Soc.. This book was released on 2005 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction Partial commutative monoids Continuous dimension scales Espaliers Classes of espaliers Bibliography Index
Download or read book Ring Theory Waterloo 1978 written by D. Handelman and published by Springer. This book was released on 2007-01-05 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: A ring theory conference took place at the University of Waterloo, 12-16 June 1978, and these are its proceedings. This conference was held as a part of the Summer Research Institute in Ring Theory, at Waterloo, sponsored by the Canadian Mathematical Society. In soliciting speakers, and contributors to the Proceedings, we attempted to represent those portions of ring theory which seemed to us interesting. There was thus considerable emphasis on lower K-theory and related topics, Artinian and Noetherian rings, as well as actions and representations of groups on rings. Regrettably, we could only obtain one paper in the mainstream of commutative ring theory, but we believe that the lack of quantity is more than made up for by the quality. We also took the liberty of including a survey of results in a field which we feel deserves more attention by ring theorists, C* algebras from an algebraic point of view.
Download or read book Handbook of Algebra written by and published by Elsevier. This book was released on 2003-10-15 with total page 1185 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Algebra
Download or read book Continuous and Discrete Modules written by Saad H. Mohamed and published by Cambridge University Press. This book was released on 1990-02-22 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: Continuous and discrete modules are, essentially, generalizations of infective and projective modules respectively. Continuous modules provide an appropriate setting for decomposition theory of von Neumann algebras and have important applications to C*-algebras. Discrete modules constitute a dual concept and are related to number theory and algebraic geometry: they possess perfect decomposition properties. The advantage of both types of module is that the Krull-Schmidt theorem can be applied, in part, to them. The authors present here a complete account of the subject and at the same time give a unified picture of the theory. The treatment is essentially self-contained, with background facts being summarized in the first chapter. This book will be useful therefore either to individuals beginning research, or the more experienced worker in algebra and representation theory.
Download or read book FPF Ring Theory written by Carl Faith and published by Cambridge University Press. This book was released on 1984-04-26 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work includes all known theorems on the subject of noncommutative FPF rings.
Download or read book Modules over Non Noetherian Domains written by László Fuchs and published by American Mathematical Soc.. This book was released on 2001 with total page 633 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, the authors present both traditional and modern discoveries in the subject area, concentrating on advanced aspects of the topic. Existing material is studied in detail, including finitely generated modules, projective and injective modules, and the theory of torsion and torsion-free modules. Some topics are treated from a new point of view. Also included are areas not found in current texts, for example, pure-injectivity, divisible modules, uniserial modules, etc. Special emphasis is given to results that are valid over arbitrary domains. The authors concentrate on modules over valuation and Prüfer domains, but also discuss Krull and Matlis domains, h-local, reflexive, and coherent domains. The volume can serve as a standard reference book for specialists working in the area and also is a suitable text for advanced-graduate algebra courses and seminars.
Download or read book Canadian Journal of Mathematics written by and published by . This book was released on 1987-08 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Von Neumann Regular Rings written by K. R. Goodearl and published by . This book was released on 1991 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt:
